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38734944 = 2532353331
BaseRepresentation
bin1001001111000…
…0110001100000
32200212221100120
42103300301200
534404004234
63502120240
7650145603
oct223606140
980787316
1038734944
111a957156
1210b80080
138042ab1
14520433a
153602049
hex24f0c60

38734944 has 96 divisors (see below), whose sum is σ = 108428544. Its totient is φ = 12080640.

The previous prime is 38734897. The next prime is 38734951. The reversal of 38734944 is 44943783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 38734896 and 38734905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116859 + ... + 117189.

It is an arithmetic number, because the mean of its divisors is an integer number (1129464).

Almost surely, 238734944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38734944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54214272).

38734944 is an abundant number, since it is smaller than the sum of its proper divisors (69693600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38734944 is a wasteful number, since it uses less digits than its factorization.

38734944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 38734944 is about 6223.7403544814. The cubic root of 38734944 is about 338.3511400487.

The spelling of 38734944 in words is "thirty-eight million, seven hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 92 96 106 138 159 184 212 276 318 331 368 424 552 636 662 736 848 993 1104 1219 1272 1324 1696 1986 2208 2438 2544 2648 3657 3972 4876 5088 5296 7314 7613 7944 9752 10592 14628 15226 15888 17543 19504 22839 29256 30452 31776 35086 39008 45678 52629 58512 60904 70172 91356 105258 117024 121808 140344 182712 210516 243616 280688 365424 403489 421032 561376 730848 806978 842064 1210467 1613956 1684128 2420934 3227912 4841868 6455824 9683736 12911648 19367472 38734944